Linear function, y = 2x + 1, Quadratic function, Absolute value, V-shape with vertex at (3, 0), Square root, y = √(x + 2), Exponential, y = log₂(x), Rational function, y = 1/x, Cubic function, a polynomial function of degree 3, Quartic function, y = x⁴ − 4x², y = sin(x), Cube root function, the inverse of the cubic function, f(x) = (x² − 1)/(x − 1), Hole at (1, 2), no vertical asymptote, x-intercept (−1, 0), y-intercept (0, 1), domain: x ≠ 1, f(x) = (x − 3)/(x² − 9), Hole at (3, 1/6), vertical asymptote x = −3, horizontal asymptote y = 0, no x-intercept, y-intercept (0, 1/3), f(x) = 2ˣ, Horizontal asymptote y = 0, no x-intercept, y-intercept (0, 1), always increasing, range: y > 0, f(x) = −x² + 6x − 5, Vertex (3, 4), x-intercepts (1, 0) and (5, 0), y-intercept (0, −5), opens down, axis of symmetry x = 3, f(x) = x³ − 3x, x-intercepts (0, 0); (√3, 0); (−√3, 0), y-intercept (0, 0), odd function, two turning points

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